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研究生: 鍾佳芳
論文名稱: 2D磁力信號之小波轉換與適應性濾波處理
指導教授: 鄭懌
學位類別: 碩士
Master
系所名稱: 地球科學系
Department of Earth Sciences
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 100
中文關鍵詞: 磁力小波
論文種類: 學術論文
相關次數: 點閱:212下載:60
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  • 摘要
    利用磁力法探測地下構造或目標物時,環境存在著許多雜信,常見者如:遠處長波雜信、隨機無序分布之雜信以及背景磁力的變化等等,所以其所量測到的磁力數據往往都必須經過濾波的步驟後,方能初步判讀出目標物位置或地下構造。
    本研究的模型測試證實小波多層次分析與適性濾波(本文意指維那與中值濾波兩者)對雜信濾除的可行性後,將野外1D和2D磁力數據透過小波多層次分析與適應性濾波將野外雜信濾除,並將信號加以重組分析,爾後,再進行信號分析以辨識地下構造(地層層面)。
    本研究測區地下構造為砂頁岩互層之傾斜地層,測區內除上述野外常見的雜信外,還有來自側向岩壁效應的雜信。經濾波分析結果顯示適應性濾波可有效濾除隨機無序的雜信;而小波多層次分析則有助於信號重組時的對於高低頻雜信的篩選,因此在本研究中成功的強調出地下淺層構造信號並得以辨識出地層層面位置。

    誌謝……………………Ι 摘要……………………Ⅱ 目錄……………………Ⅲ 圖目……………………Ⅴ 表目……………………Ⅵ 第一章 緒論 1-1 前言………………………………………………………1 1-2 研究動機與目的…………………………………………2 1-3 小波分析在地球物理探勘的應用………………………4 第二章 理論介紹 2-1 磁力探勘理論與方式……………………………………6 2-2 小波理論 2-2-1 小波簡介……………………………………………9 2-2-2 小波轉換……………………………………………11 2-2-3 一維信號小波轉換 2-2-4.1 一維信號小波轉換……………………………14 2-2-4.2 一維信號小波分析 …………………………16 2-2-4 二維信號小波轉換與分析 2-2-4.1 二維信號小波轉換……………………………19 2-2-4.2 二維信號小波分析 …………………………20 2-3 二維適應性濾波 2-3-1 二維維那濾波(2D wiener filter) ………………24 2-3-2 二維中值濾波(2D median filter) ………………25 第三章 儀器與測區地質環境介紹 3-1 儀器簡介……………………………………………………26 3-2 測區環境簡介環境 3-2-1 峨眉地理交通位置……………………………………29 3-2-2 峨眉地質環境簡介……………………………………30 3-3 測區測線分佈與岩性概況 3-3-1第一測區測線分佈與岩性概況…………………………33 3-3-2第二測區測線分佈與岩性概況…………………………38 第四章 模型建立的分析 4-1 測試一:模型一,單地層信號的建立與分析………………43 4-2 測試二:模型二,多地層信號的建立與分析………………46 4-3 測試結果………………………………………………………52 第五章 資料處理與分析 5-1 資料處理流程…………………………………………………54 5-2 資料處理與分析………………………………………………55 5-2-1 第一測區資料處理與分析 5-2-1.1 1D小波與適應性濾波 …………………………………57 5-2-1.2 2D小波與適應性濾波 …………………………59 5-2-2 第二測區資料處理與分析 5-2-1.1 1D小波與適應性濾波……………………………63 5-2-1.2 2D小波與適應性濾波 …………………………65 第六章 結果與討論 6-1 信號重組結果…………………………………………………69 6-1-1 第一測區之濾波分析 6-1-1.1 第一測區之1.5D濾波分析………………………70 6-1-1,1 第一測區之2D濾波分析…………………………74 6-1-2 第二測區之濾波分析 6-1-2.1 第二測區之1.5D濾波分析………………………76 6-1-2,2 第二測區之2D濾波分析 ………………………80 6-2 小波分析與地層對比…………………………………………82 6-3 結果與討論……………………………………………………87 第七章 結論…………………………………………………………91 參考文獻 ……………………………………………………………93

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